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The Official Journal of the Pan-Pacific Association of Input-Output Studies (PAPAIOS)

Table 6 Statistics of the absolute differences (×100) between the observed and estimated input coefficients from the FLQ+ and GRAS+ methods

From: A new approach to modelling the input–output structure of regional economies using non-survey methods

  \(\left| {a_{ij}^{r} - \hat{a}_{ij}^{r} } \right|\) FLQ+ \(\left| {a_{ij}^{r} - \hat{a}_{ij}^{r} } \right|\) GRAS+
Mean Max Median SD Mean Max Median SD
Gyeonggi 0.1207 40.9 0.0033 0.8375 0.1379 51.3 0.0029 0.9830
Seoul 0.1478 27.9 0.0030 0.7102 0.1748 28.2 0.0020 0.8378
N Gyeongsang 0.1584 40.5 0.0043 0.8583 0.1876 68.7 0.0034 1.3135
S Gyeongsang 0.1426 34.7 0.0038 0.7409 0.1610 51.9 0.0029 1.0010
Ulsan 0.1620 48.3 0.0028 1.0850 0.1950 61.7 0.0017 1.3991
South Jeolla 0.1702 34.7 0.0030 0.9026 0.2044 67.6 0.0019 1.5013
S Chungcheong 0.1472 47.0 0.0033 0.9046 0.1556 60.2 0.0024 1.1178
Incheon 0.1323 25.5 0.0026 0.7887 0.1386 27.4 0.0022 0.8462
Busan 0.1484 18.7 0.0033 0.6654 0.1496 23.1 0.0028 0.7192
N Chungcheong 0.1476 49.6 0.0032 1.0025 0.1529 58.5 0.0028 1.1151
Daegu 0.1393 42.1 0.0032 0.7675 0.1398 49.3 0.0027 0.8530
North Jeolla 0.1373 52.0 0.0027 0.9149 0.1377 62.1 0.0023 1.0641
Gangwon 0.2027 124.6 0.0038 1.9126 0.2044 125.0 0.0035 1.9534
Gwangju 0.1357 48.6 0.0023 0.8746 0.1340 52.3 0.0021 0.9069
Daejeon 0.1382 40.8 0.0022 0.8513 0.1390 39.8 0.0023 0.8444
Jeju 0.1599 51.1 0.0010 0.9909 0.1522 51.1 0.0008 1.0117
Mean 0.1494 45.4 0.0030 0.9255 0.1603 54.9 0.0024 1.0917
Weighted mean 0.1448 39.2 0.0032 0.8542 0.1626 50.1 0.0025 1.0559
V 0.127 0.51 0.267 0.309 0.156 0.43 0.279 0.290